Information-based numerical distances between equilibrium and non-equilibrium states

Autores
Plastino, Ángel Ricardo; Ferri, Gustavo Luis; Rocca, Mario Carlos; Plastino, Ángel Luis
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process.
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
Information theory
Master equation
thermal time-evolution
equilibrium-off equilibrium distances.
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/145157
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Information-based numerical distances between equilibrium and non-equilibrium statesPlastino, Ángel RicardoFerri, Gustavo LuisRocca, Mario CarlosPlastino, Ángel LuisInformation theoryMaster equationthermal time-evolutionequilibrium-off equilibrium distances.https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process.Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaFil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaScientific Research publishing2020-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/145157Plastino, Ángel Ricardo; Ferri, Gustavo Luis; Rocca, Mario Carlos; Plastino, Ángel Luis; Information-based numerical distances between equilibrium and non-equilibrium states; Scientific Research publishing; Journal of Modern Physics; 11; 07; 7-2020; 1031-10432153-11962153-120XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/paperinformation.aspx?paperid=101465info:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2020.117065info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:11:40Zoai:ri.conicet.gov.ar:11336/145157instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 12:11:40.538CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Information-based numerical distances between equilibrium and non-equilibrium states
title Information-based numerical distances between equilibrium and non-equilibrium states
spellingShingle Information-based numerical distances between equilibrium and non-equilibrium states
Plastino, Ángel Ricardo
Information theory
Master equation
thermal time-evolution
equilibrium-off equilibrium distances.
title_short Information-based numerical distances between equilibrium and non-equilibrium states
title_full Information-based numerical distances between equilibrium and non-equilibrium states
title_fullStr Information-based numerical distances between equilibrium and non-equilibrium states
title_full_unstemmed Information-based numerical distances between equilibrium and non-equilibrium states
title_sort Information-based numerical distances between equilibrium and non-equilibrium states
dc.creator.none.fl_str_mv Plastino, Ángel Ricardo
Ferri, Gustavo Luis
Rocca, Mario Carlos
Plastino, Ángel Luis
author Plastino, Ángel Ricardo
author_facet Plastino, Ángel Ricardo
Ferri, Gustavo Luis
Rocca, Mario Carlos
Plastino, Ángel Luis
author_role author
author2 Ferri, Gustavo Luis
Rocca, Mario Carlos
Plastino, Ángel Luis
author2_role author
author
author
dc.subject.none.fl_str_mv Information theory
Master equation
thermal time-evolution
equilibrium-off equilibrium distances.
topic Information theory
Master equation
thermal time-evolution
equilibrium-off equilibrium distances.
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process.
Fil: Plastino, Ángel Ricardo. Universidad Nacional del Noroeste de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Ferri, Gustavo Luis. Universidad Nacional de La Pampa. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Rocca, Mario Carlos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Fil: Plastino, Ángel Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description We consider a typical master equation describing thermal time-evolution. In parallel, we also consider a quasi static canonical description of the same problem. We are able to devise a way of numerically comparing these two treatments and concoct a distance-measure between them. In this way, one is in a position to know how far or close equilibrium and off-equilibrium can get. The first, rather surprising observation, is that our systems lose structural details as N grows. Also, the time-evolution of the distance between the two pertinent probability distributions is quite sensitive to the heating-cooling process.
publishDate 2020
dc.date.none.fl_str_mv 2020-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/145157
Plastino, Ángel Ricardo; Ferri, Gustavo Luis; Rocca, Mario Carlos; Plastino, Ángel Luis; Information-based numerical distances between equilibrium and non-equilibrium states; Scientific Research publishing; Journal of Modern Physics; 11; 07; 7-2020; 1031-1043
2153-1196
2153-120X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/145157
identifier_str_mv Plastino, Ángel Ricardo; Ferri, Gustavo Luis; Rocca, Mario Carlos; Plastino, Ángel Luis; Information-based numerical distances between equilibrium and non-equilibrium states; Scientific Research publishing; Journal of Modern Physics; 11; 07; 7-2020; 1031-1043
2153-1196
2153-120X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.scirp.org/journal/paperinformation.aspx?paperid=101465
info:eu-repo/semantics/altIdentifier/doi/10.4236/jmp.2020.117065
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Scientific Research publishing
publisher.none.fl_str_mv Scientific Research publishing
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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